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1377216225 = 325271179493
BaseRepresentation
bin101001000010110…
…1010011011100001
310112222110211111100
41102011222123201
510310031404400
6344354305013
746062100440
oct12205523341
93488424440
101377216225
11647447a30
12325288169
1318c432258
14d0ca0d57
1580d94100
hex5216a6e1

1377216225 has 72 divisors (see below), whose sum is σ = 3075463872. Its totient is φ = 572342400.

The previous prime is 1377216221. The next prime is 1377216227. The reversal of 1377216225 is 5226127731.

1377216225 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 21 + 622 + 5 = 666.

It is not a de Polignac number, because 1377216225 - 22 = 1377216221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1377216225.

It is not an unprimeable number, because it can be changed into a prime (1377216221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22422 + ... + 57071.

It is an arithmetic number, because the mean of its divisors is an integer number (42714776).

Almost surely, 21377216225 is an apocalyptic number.

1377216225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1377216225 is an abundant number, since it is smaller than the sum of its proper divisors (1698247647).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377216225 is a wasteful number, since it uses less digits than its factorization.

1377216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79527 (or 79519 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 1377216225 is about 37110.8639753914. The cubic root of 1377216225 is about 1112.5871597748.

The spelling of 1377216225 in words is "one billion, three hundred seventy-seven million, two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 79493 238479 397465 556451 715437 874423 1192395 1669353 1987325 2623269 2782255 3577185 4372115 5008059 5961975 6120961 7869807 8346765 13116345 13911275 17885925 18362883 21860575 25040295 30604805 39349035 41733825 55088649 65581725 91814415 125201475 153024025 196745175 275443245 459072075 1377216225